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Finding the Third Proportional to 16,024.50 and 22,558.50

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Solution

The third proportional to 16,024.50 and 22,558.50 is: 31,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.50 : 22,558.50 = 22,558.50 : x
  2. Step 2: Convert to fraction form
    16,024.50/22,558.50 = 22,558.50/x
  3. Step 3: Cross multiply
    16,024.50x = 22,558.50 × 22,558.50
  4. Step 4: Simplify right side
    16,024.50x = 508,885,922.25
  5. Step 5: Solve for x
    x = 508,885,922.25/16,024.50
  6. Step 6: Final answer
    x = 31,756.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.